Question

At the movie theatre, child admission is $ 5.10 and adult admission is $ 8.80 . on monday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1134.00 . how many child tickets were sold that day?

Answer 1

Assume x = adult tickets and y = child tickets

x = 3y
8.80x + 5.10y = 1134

Substitute x = 3y into

`8.80(3y) + 5.10y = 1134 \\ 26.4y + 5.10y = 1134 \\ 31.5y = 1134 \\ y = 36`

Substitute that into

`x = 3(36) \\ x = 108`

Answer: 36 child tickets were sold that day.

Hope this helps. - M